Abstract
Quantum states with negative energy densities have been long known to exist in quantum field theories. We explore the structure of such states for holographic theories using quantum information theory tools and show how certain negative energy states are naturally captured by the thermodynamics of black holes with hyperbolic horizon at zero temperature, suggesting that they provide a dual description of those states. Our results give a satisfying field theory understanding of the distinct thermodynamics of such black holes.
Highlights
Classical energy conditions are local inequalities involving the energy-momentum tensor Tμν which constrains the allowed matter in a classical theory; e.g., the null energy condition is given by Tμνuμuν ≥ 0 with uμ any null vector
We focus on their holographic description
We use quantum information theory techniques which have been previously shown to be very useful in the study of negative energy [17,18,19,20]
Summary
Classical energy conditions are local inequalities involving the energy-momentum tensor Tμν which constrains the allowed matter in a classical theory; e.g., the null energy condition is given by Tμνuμuν ≥ 0 with uμ any null vector Inequalities such as this one were first proposed in General Relativity in order to neglect unphysical solutions to Einstein gravity equations. Our results give a natural understanding of such behavior and suggest that these black holes provide a holographic description of the modular vacua of this setup
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